345672264 has 96 divisors (see below), whose sum is σ = 1011143520. Its totient is φ = 98187264.

The previous prime is 345672259. The next prime is 345672277. The reversal of 345672264 is 462276543.

345672264 = 2632² + 2633² + ... + 2680².

Its product of digits (241920) is a multiple of the sum of its prime divisors (1728).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 226207 + ... + 227729.

It is an arithmetic number, because the mean of its divisors is an integer number (10532745).

Almost surely, 2^345672264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345672264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505571760).

345672264 is an abundant number, since it is smaller than the sum of its proper divisors (665471256).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

345672264 is a wasteful number, since it uses less digits than its factorization.

345672264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1739 (or 1728 counting only the distinct ones).

The product of its digits is 241920, while the sum is 39.

The square root of 345672264 is about 18592.2635523489. The cubic root of 345672264 is about 701.8131660813.

The spelling of 345672264 in words is "three hundred forty-five million, six hundred seventy-two thousand, two hundred sixty-four".